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3 years ago

Find the missing length to the attached triangle.

Mathematics

2 answers:

il63 [147K]3 years ago

4 0

Answer:

x = 135

Step-by-step explanation:

Use the right triangle altitude theorem and similar triangles.

x/81 = 225/x

x^2 = 81 * 225

x = 9 * 15

x = 135

Anna35 [415]3 years ago

4 0

Answer:

135

Step-by-step explanation:

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Explain how slope is used to determine if a triangle is a right triangle.

Bond [772]

A right triangle contains a right angle, so it must have two sides that are perpendicular. If the slopes of two sides can be shown to be negative reciprocals of each other, then it can be concluded that a right angle is formed. If a triangle contains a right angle, then it is a right triangle.

5 0

3 years ago

Read 2 more answers

5. Ms. Lee has 220 students in all her classes. If her classes collected 2860 pounds of food, how many meals did each student pr

jarptica [38.1K]

Answer:

Each students provides 13 pounds of meal

Step-by-step explanation:

Total students in Ms. Lee class = 220

Total pounds of food collected = 2,860

how many meals did each student provide?

Meals provided by each student = Total pounds of food collected / total number of students

= 2,860 / 220

= 13 pounds

Each students provides 13 pounds of meal

Note: 1.2 pounds of food equals one meal

1.2 pounds : 1 meal = 13 pounds : x meals

1.2/1 = 13/x

1.2 * x = 1 * 13

1.2x = 13

x = 13 / 1.2

= 10.83 meals

Approximately 11 meals to the nearest number

Note:1 kilogram is 2.2 pounds

1 kg : 2.2 pounds = x kg : 13 pounds

1/2.2 = x / 13

1 * 13 = 2.2 * x

13 = 2.2x

x = 13/2.2

= 5.91 kilogram

Approximately x = 6 kilograms

3 0

3 years ago

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

3 years ago

A license plate is to consist of 5 digits followed by 5 uppercase letters. Determine the number of different license plates poss

EastWind [94]

Answer:

$5.3044992\times 10^{10}$

Step-by-step explanation:

We are given that a license plate consist of 5 digits and 5 uppercase letters

Digits used=0,1,2,..9

Total number of letters=26

Repetition is not allowed

Total number of odd digits=(1,3,5,7,9)=5

The first place filled by 5

Second place filled by 4

Third place filled by 8

Fourth place filled by 7

Fifth place filled by 6

Sixth place filled by 26

Seventh place filled by 25

Eighth place filled by 24

Ninth place filled by 23

Tenth place filled by 22

Total number of possible different license plates = $5\times 4\times 8\times 7\times 6\times 26\times 25\times 24\times 23\times 22$ = $5.3044992\times 10^{10}$

7 0

3 years ago

The table shows the number of cups of water required when cooking different amounts of rice.

Harman [31]

Answer-

The amount of water is the dependent value.

Solution-

Plotting the graph from the given data points, it comes out to be a straight line with positive slope. So, both the variables i.e amount of rice and amount of water are in a linear relationship. They are directly proportional to each other.

As the amount of rice increases, the water needed to cook the rice also increases. Plotting a graph taking amount of rice in abscissa and amount of water in ordinate, a straight line was obtained.

Here, amount of rice is the independent variable and amount of water is dependent variable as it depends on the amount of rice.

3 0

3 years ago